Details

Time bar (total: 1.4m)

sample251.0ms

Algorithm
intervals
Results
24.0ms263×body80valid

simplify314.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
313.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize24.0ms

Local error

Found 2 expressions with local error:

19.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 76
Calls
2 calls:
Slowest
44.0ms
(* (+ t1 u) (+ t1 u))
26.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
155.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
28.0ms
(* (+ t1 u) (+ t1 u))

simplify16.2s

Counts
95 → 82
Calls
95 calls:
Slowest
920.0ms
(/ (* (- t1) v) (* (- (* t1 t1) (* u u)) (- (* t1 t1) (* u u))))
893.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
798.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
788.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
707.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))

prune715.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 201
Calls
3 calls:
Slowest
55.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
13.0ms
(/ v (+ t1 u))
10.0ms
(/ (- t1) (+ t1 u))

series290.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
193.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
60.0ms
(/ (- t1) (+ t1 u))
38.0ms
(/ v (+ t1 u))

simplify17.3s

Counts
269 → 210
Calls
269 calls:
Slowest
445.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
437.0ms
(* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u)))
396.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (/ v (+ t1 u)))
371.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
370.0ms
(exp (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

7.0b
(* (- t1) (/ v (+ t1 u)))
0.8b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 116
Calls
3 calls:
Slowest
34.0ms
(* (- t1) (/ v (+ t1 u)))
18.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms
(/ v (+ t1 u))

series216.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
110.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
77.0ms
(* (- t1) (/ v (+ t1 u)))
29.0ms
(/ v (+ t1 u))

simplify12.9s

Counts
144 → 125
Calls
144 calls:
Slowest
707.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
566.0ms
(* (- t1) (/ (* (cbrt v) (cbrt v)) 1))
546.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
471.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
403.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (- t1) (/ v (+ t1 u)))
0.9b
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
54×add-exp-log
49×times-frac
46×add-sqr-sqrt
41×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
11×associate-*l*
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*r/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×clear-num frac-2neg *-commutative unswap-sqr
1×frac-times neg-mul-1 associate-*l/ un-div-inv pow-flip inv-pow
Counts
4 → 179
Calls
4 calls:
Slowest
47.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
28.0ms
(* (- t1) (/ v (+ t1 u)))
17.0ms
(/ v (+ t1 u))
11.0ms
(/ 1 (+ t1 u))

series268.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
75.0ms
(* (- t1) (/ v (+ t1 u)))
56.0ms
(/ 1 (+ t1 u))
29.0ms
(/ v (+ t1 u))

simplify26.2s

Counts
216 → 191
Calls
216 calls:
Slowest
812.0ms
(* (* (- t1) (/ v (+ t1 u))) (/ (sqrt 1) 1))
582.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
545.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
541.0ms
(* (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
525.0ms
(+ (+ (log (- t1)) (- (log v) (log (+ t1 u)))) (- 0 (log (+ t1 u))))

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch4.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
864.0ms8263×body80valid